I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.
It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
I could also walk off a cliff, doesn’t mean I should. Sources are important not just for what they say but how they say it, where they say it, and why they say it.
Yes, that is your claim which you have yet to prove. You keep reiterating your point as if it is established fact, but you haven’t established it. That’s the whole argument.
Literally just give me a direct quote. If you’re using it as supporting evidence, tell me how it supports you. If you can’t even do that, it’s not supporting evidence. I don’t know why you want me to analyze it, you’re the one who presented it as evidence. My analysis is irrelevant.
I was being sarcastic. If you truly think highschool teachers who require almost no training in comparison to a Phd are more qualified… I have no interest in continuing this discussion. That’s simply absurd, professors study every part of mathematics (in aggregate), including the ‘highschool’ math, and are far more qualified than any highschool teacher who is not a Phd. This is true of any discipline taught in highschool, a physics professor is much better at understanding and detailing the minutiae of physics than a highschool physics teacher. To say a teacher knows more than someone who has literally spent years of their life studying and expanding the field when all the teacher has to do is teach the same (or similar) curriculum each and every year is… insane–especially when you’ve been holding up math textbooks as the ultimate solution and so, so many of them are written by professors.
I want to point out that your only two sources, both a screenshot of a textbook, (yes, those are your only sources. You’ve given 4, but one I’ve repeatedly asked about and you’ve refused to point out a direct quote that provides support for your argument, another I dismissed earlier and I assume you accepted that seeing as you did not respond to that point) does not state the reasoning behind its conclusion. To me that’s far worse than a professor who at least says why they’ve done something.
I’ve given 3 sources, all of which you dismiss simply because they’re not highschool textbooks… y’know, textbooks notorious for over-simplifying things and not giving the logic behind the answer. I could probably find some highschool textbooks that support weak juxtaposition if I searched, but again that’s a waste of money and time. You don’t seem keen on acknowledging any sort of ambiguity here and constantly state it goes against the rules of math, without ever providing a source that explains these rules and how they work so as to prove only strong juxtaposition makes sense/works. If you’re really so confident in strong juxtaposition being the only way mathematically, I expect you to have a mathematical proof for why weak juxtaposition would never work, one that has no flaws. Otherwise, at best you have a hypothesis.
None of which you’ve addressed since I gave you the source. Remember when you said this…
So, did you do that once I gave you the link? And/or are you maybe going to address “what they say but how they say it, where they say it, and why they say it” in regards to the link I gave you?
What they teach in Maths textbooks aren’t facts? Do go on. 😂
I did, and you’ve apparently refused to read the relevant part.
You know not all university lecturers do a Ph.D. right? In which case they haven’t done any more study at all. But I know you really wanna hang on to this “appeal to authority” argument, since it’s all you’ve got.
Yeah I saw that coming once I gave you the link to the textbook.
…when they were in high school.
There you go. Welcome to why high school teachers are the expert in this field.
So wait, NOW you’re saying textbooks ARE valid in what they say? 😂
All that points out is that you didn’t even read THIS thread properly, never mind the other one. Which two are they BTW? And I’ll point out which ones you’ve missed.
Well, I’ll use your own logic then to take that as a concession, given how many of my points you didn’t respond to (like the textbook that I gave you the link to, and the Cajori ab=(ab) one, etc.).
3 articles you mean.
…all of them have forgotten about The Distributive Law and Terms., which make the expression totally unambiguous. Perhaps you’d like to find an article that DOES talk about those and ALSO asserts that the expression is “ambiguous”? 😂 Spoiler alert: every article, as soon as I see the word “ambiguous” I search the text for “distributive” and “expand” and “terms” - can you guess what I find? 😂 Hint: Venn diagram with little or no overlap.
Do you wanna bet on that? 😂
They’re in my thread, if you’d bothered to read any further. By your own standards, 😂I’ll take it that you concede all of my points that you haven’t responded to.
You know some things are true by definition, right, and therefore don’t have a proof? 1+1=2 is the classic example. Or do you challenge that too?
So do YOU have a hypothesis then? How “weak juxtaposition” could EVER work given “strong juxtaposition” is the only type ever used in any of the rules of Maths? I’ll wait for your proof…
At this point you’re just ignoring whatever I say and I see no point in continuing this discussion. You haven’t responded to what I’ve said, you’ve just stated I’m wrong and to trust you on that because somewhere prior you said so. Good luck with convincing anyone that way.
You know EXACTLY where I said those things, and you’ve been avoiding addressing them ever since because you know they prove the point that #MathsIsNeverAmbiguous See ya.
Also noted that you’ve declined on taking on that bet I offered.